Thomason cohomology of categories
K-Theory and Homology
2014-05-01 v1 Algebraic Topology
Category Theory
Abstract
We introduce cohomology and homology theories for small categories with general coefficient systems from simplex categories first studied by Thomason. These theories generalize at once Baues-Wirsching cohomology and homology and other more classical theories. We analyze naturality and functoriality properties of these theories and construct associated spectral sequences for functors between small categories.
Keywords
Cite
@article{arxiv.1208.2889,
title = {Thomason cohomology of categories},
author = {Imma Galvez-Carrillo and Frank Neumann and Andrew Tonks},
journal= {arXiv preprint arXiv:1208.2889},
year = {2014}
}
Comments
22 pages. arXiv admin note: text overlap with arXiv:1112.3996